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Concrete Compressive Strength given Total Allowable Axial Load Calculator

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Short Columns Estimation of Effective Length of Columns

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Design of Short Column under Axial Compression Design of Short Column in Compression with Uniaxial Bending Design Under Axial Compression with Biaxial Bending Slender Columns

✖Total allowable load is the capacity or can say the maximum load allowed.ⓘ Total Allowable Load [p_T]			+10% -10%
✖Gross Area of Column is the total area enclosed by the column.ⓘ Gross Area of Column [A_g]			+10% -10%
✖Allowable Stress in Vertical Reinforcement is equal to 40 percent of the minimum yield strength, but not to exceed 30,000 lb/sq.in(207 MPa).ⓘ Allowable Stress in Vertical Reinforcement [f'_s]			+10% -10%
✖Area Ratio of Cross Sectional Area to Gross Area is the ratio of cross-sectional area of vertical reinforcing steel to gross area of column.ⓘ Area Ratio of Cross Sectional Area to Gross Area [p_g]			+10% -10%

✖The characteristic compressive strength is defined as the strength of the concrete below which not more than 5% of the test results are expected to fall.ⓘ Concrete Compressive Strength given Total Allowable Axial Load [fck]

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Concrete Compressive Strength given Total Allowable Axial Load Solution

STEP 0: Pre-Calculation Summary

Formula Used

Characteristic Compressive Strength = ((Total Allowable Load/Gross Area of Column)-(Allowable Stress in Vertical Reinforcement*Area Ratio of Cross Sectional Area to Gross Area))/0.25
fck = ((p_T/A_g)-(f'_s*p_g))/0.25
This formula uses 5 Variables

Variables Used

Characteristic Compressive Strength - (Measured in Kilonewton per Square Meter) - The characteristic compressive strength is defined as the strength of the concrete below which not more than 5% of the test results are expected to fall.
Total Allowable Load - (Measured in Newton) - Total allowable load is the capacity or can say the maximum load allowed.
Gross Area of Column - (Measured in Square Meter) - Gross Area of Column is the total area enclosed by the column.
Allowable Stress in Vertical Reinforcement - (Measured in Kilonewton per Square Meter) - Allowable Stress in Vertical Reinforcement is equal to 40 percent of the minimum yield strength, but not to exceed 30,000 lb/sq.in(207 MPa).
Area Ratio of Cross Sectional Area to Gross Area - Area Ratio of Cross Sectional Area to Gross Area is the ratio of cross-sectional area of vertical reinforcing steel to gross area of column.

STEP 1: Convert Input(s) to Base Unit

Total Allowable Load: 18.5 Newton --> 18.5 Newton No Conversion Required
Gross Area of Column: 500 Square Millimeter --> 0.0005 Square Meter (Check conversion here)
Allowable Stress in Vertical Reinforcement: 4.001 Newton per Square Millimeter --> 4001 Kilonewton per Square Meter (Check conversion here)
Area Ratio of Cross Sectional Area to Gross Area: 8.01 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

fck = ((p_T/A_g)-(f'_s*p_g))/0.25 --> ((18.5/0.0005)-(4001*8.01))/0.25

Evaluating ... ...

fck = 19807.96

STEP 3: Convert Result to Output's Unit

19807960 Pascal -->19.80796 Megapascal (Check conversion here)

FINAL ANSWER

19.80796 Megapascal <-- Characteristic Compressive Strength

(Calculation completed in 00.020 seconds)

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< Design of Short Column under Axial Compression Calculators

Concrete Compressive Strength given Total Allowable Axial Load

LaTeX Go Characteristic Compressive Strength = ((Total Allowable Load/Gross Area of Column)-(Allowable Stress in Vertical Reinforcement*Area Ratio of Cross Sectional Area to Gross Area))/0.25

Allowable Stress in Vertical Concrete Reinforcing given Total Allowable Axial Load

LaTeX Go Allowable Stress in Vertical Reinforcement = (Allowable Load/Gross Area of Column-0.25*Specified Compressive Strength at 28 Days)/Area Ratio of Cross Sectional Area to Gross Area

Gross Cross-Sectional Area of Column given Total Allowable Axial Load

LaTeX Go Gross Area of Column = Allowable Load/(0.25*Specified Compressive Strength at 28 Days+Allowable Stress in Vertical Reinforcement*Area Ratio of Cross Sectional Area to Gross Area)

Total Allowable Axial Load for Short Columns

LaTeX Go Allowable Load = Gross Area of Column*(0.25*Specified Compressive Strength at 28 Days+Allowable Stress in Vertical Reinforcement*Area Ratio of Cross Sectional Area to Gross Area)

Concrete Compressive Strength given Total Allowable Axial Load Formula

LaTeX Go

Where is Compressive Strength Used?

Compressive strength is defined as the maximum compressive load a body can bear prior to failure, divided by its cross sectional area. Ceramics typically have good tensile strengths and are used under compression e.g. concrete.

How to Calculate Concrete Compressive Strength given Total Allowable Axial Load?

Concrete Compressive Strength given Total Allowable Axial Load calculator uses Characteristic Compressive Strength = ((Total Allowable Load/Gross Area of Column)-(Allowable Stress in Vertical Reinforcement*Area Ratio of Cross Sectional Area to Gross Area))/0.25 to calculate the Characteristic Compressive Strength, The Concrete Compressive Strength given Total Allowable Axial Load formula is defined as the capacity of a concrete material or structure to withstand total allowable axial loads tending to reduce size, as opposed to which withstands loads tending to elongate. Characteristic Compressive Strength is denoted by fck symbol.

How to calculate Concrete Compressive Strength given Total Allowable Axial Load using this online calculator? To use this online calculator for Concrete Compressive Strength given Total Allowable Axial Load, enter Total Allowable Load (p_T), Gross Area of Column (A_g), Allowable Stress in Vertical Reinforcement (f'_s) & Area Ratio of Cross Sectional Area to Gross Area (p_g) and hit the calculate button. Here is how the Concrete Compressive Strength given Total Allowable Axial Load calculation can be explained with given input values -> -0.000128 = ((18.5/0.0005)-(4001000*8.01))/0.25.

FAQ

What is Concrete Compressive Strength given Total Allowable Axial Load?

The Concrete Compressive Strength given Total Allowable Axial Load formula is defined as the capacity of a concrete material or structure to withstand total allowable axial loads tending to reduce size, as opposed to which withstands loads tending to elongate and is represented as fck = ((p_T/A_g)-(f'_s*p_g))/0.25 or Characteristic Compressive Strength = ((Total Allowable Load/Gross Area of Column)-(Allowable Stress in Vertical Reinforcement*Area Ratio of Cross Sectional Area to Gross Area))/0.25. Total allowable load is the capacity or can say the maximum load allowed, Gross Area of Column is the total area enclosed by the column, Allowable Stress in Vertical Reinforcement is equal to 40 percent of the minimum yield strength, but not to exceed 30,000 lb/sq.in(207 MPa) & Area Ratio of Cross Sectional Area to Gross Area is the ratio of cross-sectional area of vertical reinforcing steel to gross area of column.

How to calculate Concrete Compressive Strength given Total Allowable Axial Load?

The Concrete Compressive Strength given Total Allowable Axial Load formula is defined as the capacity of a concrete material or structure to withstand total allowable axial loads tending to reduce size, as opposed to which withstands loads tending to elongate is calculated using Characteristic Compressive Strength = ((Total Allowable Load/Gross Area of Column)-(Allowable Stress in Vertical Reinforcement*Area Ratio of Cross Sectional Area to Gross Area))/0.25. To calculate Concrete Compressive Strength given Total Allowable Axial Load, you need Total Allowable Load (p_T), Gross Area of Column (A_g), Allowable Stress in Vertical Reinforcement (f'_s) & Area Ratio of Cross Sectional Area to Gross Area (p_g). With our tool, you need to enter the respective value for Total Allowable Load, Gross Area of Column, Allowable Stress in Vertical Reinforcement & Area Ratio of Cross Sectional Area to Gross Area and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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